The goal is to create a system where corruption doesn't yield material reward. You give bribery as an example, which is a material reward. Remove the ability to be bribed and then the politician can't be bribed.

For one, means of production should not be purchasable by individuals. Capital is money which is used to make more money. Capital can be used to purchase the means of production and labor, and then sell the commodities produced, to receive more money. Ownership is decided by the state's use of violence; you can't just walk in and take ownership of a factory because the state will use violence against you. The state can say that individuals or capitalists are not allowed to own means of production.

For two, fiat money can be replaced with non-transferable labor vouchers. Money can be used as capital, ie money which creates more money. Rather than being payed money at your job with money, you can be payed labor credits by the state for the amount of labor that you do. These labor credits could be used to buy things at a store that you need such as food, clothing, toiletries. Similar to how food stamps are accepted at grocery stores.

Without the bourgeois state creating mechanisms for labor to be exploited, corruption becomes impossible or at least much harder to do.

I guess bribes could still be made in precious metals but then there would need to be a black market. There would have to be a punitive system for participating in the black market.